Integral Equations with Multidimensional Partial Integrals

Autor:	V. A. Kalitvin, A. S. Kalitvin, A. I. Inozemtsev
Rok vydání:	2020
Předmět:	Statistics and Probability Integrable system Applied Mathematics General Mathematics Scheme (mathematics) Mathematical analysis Degenerate energy levels Rectangle Space (mathematics) Integral equation Linear equation Mathematics
Zdroj:	Journal of Mathematical Sciences. 249:954-966
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-020-04987-8
Popis:	We obtain Fredholm criteria for linear equations with multidimensional partial integrals in the space of continuous functions of three variables provided that the kernels are continuous vector-valued functions on a rectangle with the values in spaces of integrable functions. We establish the Fredholm criterion for equations with degenerate kernels and describe the scheme of studying the Fredholm properties of linear equations with partial integrals in spaces of continuous functions of at least four variables.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5cff0c19d99b2d2cf26a5347021da94f https://doi.org/10.1007/s10958-020-04987-8 Zobrazit plný text záznamu Plný text ve formátu PDF